Beräkning och matematisk analys
38 690 produkter
38 690 produkter
Häftad, Engelska, 2021
291 kr
Häftad, Engelska, 2021
1 079 kr
For courses in Introductory Statistics. Encourages statistical thinking using technology, innovative methods, and a sense of humour Inspired by the 2016 GAISE Report revision, Stats: Data and Models, 5th Edition by De Veaux, Velleman, and Bock uses innovative strategies to help students think critically about data, while maintaining the book's core concepts, coverage, and most importantly, readability. The authors make it easier for instructors to teach and for students to understand more complicated statistical concepts later in the course (such as the Central Limit Theorem). In addition, students get more exposure to large data sets and multivariate thinking, which better prepares them to be critical consumers of statistics in the 21st century. The 5th Edition’s approach to teaching Stats: Data and Models is revolutionary, yet it retains the book's lively tone and hallmark pedagogical features such as its Think/Show/Tell Step-by-Step Examples.
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Inbunden, Engelska, 2021
848 kr
Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels.
Calculus: A Complete Course, 10th Edition by Robert Adams and Christopher Essex is the ultimate guide written by two leading authors in the field that continues to build its solid core following the successful pattern of its previous editions.
With its reader-friendly language, the textbook holds a reputation for excellent accuracy and mathematical rigour, offering you study material suitable to cover a standard semester course, as well as high-end content that will help you further explore some of the unique topics and approaches in the landscape of Mathematics.
Adding important, but overlooked topics while clarifying old ones, this edition will help you develop and practice your reasoning skills and apply techniques you have learned to concrete situations. Some of the topics this edition explores include:
Sufficient conditions for maxima and minima in higher dimensions: this is the only mainstream textbook that covers the topic sufficiently. The fuzzy topic of metrics: the text explores and addresses any issues and questions, leading to new gateway topics, including spherical geometry (as in navigation) and special relativity, which emerge rather effortlessly once the metric concept is in place properly. Computers and mathematics through Maple and now Python: there is no other Calculus book that deals better with the topic while treating unique but important applications from information theory to Lévy distributions.With a wide variety of exercises and useful features to support your learning, this unique edition continues to aspire to the definition of its subtitle of “A Complete Course.”
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9780135732595 Calculus: A Complete Course, 10th Edition plus MyLab Math with Pearson eText -- Access Card Package
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9780135732588 Calculus: A Complete Course, 10th Edition 9780135732526 Calculus: A Complete Course, 10th Edition MyLab® Math -- Standalone Access CardMyLab® Math is not included. Students, if MyLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
Häftad, Svenska, 2022
566 kr
Boken är den första i en serie om tre och omfattar den matematik som brukar tas upp i inledande kurser på tekniska högskolor: matematikens byggstenar och struktur, funktionsbegrepp, exponential- och logaritmfunktioner, trigonometriska funktioner och arcusfunktioner, gränsvärden, derivata och högre derivator med tillämpningar samt kurvkonstruktion. Boken innehåller ett stort antal övningsuppgifter och utförligt lösta exempel, vilket bidrar till en ökad förståelse av såväl begrepp som teori.De två första böckerna i bokserien är avsedda för både högskoleingenjörs- och civilingenjörsutbildningar och är upplagda så att de förstnämnda kan välja att hoppa över mer krävande teori. Del två i bokserien behandlar integraler med tillämpningar, komplexa tal, differentialekvationer med tillämpningar, taylor- och maclaurinutvecklingar samt serier. Del tre i bokserien behandlar flervariabelanalys och är främst avsedd för civilingenjörsutbildningar.
Häftad, Svenska, 2018
329 kr
Övningar till huvudboken Endimensionell analys.
Häftad, Engelska, 1976
843 kr
Skickas inom 3-6 vardagar
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Häftad, Engelska, 2022
430 kr
Skickas inom 5-8 vardagar
Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.
Häftad, Svenska, 2023
481 kr
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Boken är den tredje i en serie om tre (tillsammans med Envariabelanalys för teknisk högskola, Del 1 och 2) och omfattar de områden som brukar tas upp i flervariabelkurser vid tekniska högskolor: funktionsbegreppet i flera variabler, funktionsgrafer och nivåkurvor, rummet Rn, gränsvärden och kontinuitet, partiella derivator, kedjeregeln med tillämpningar på partiella differentialekvationer, riktningsderivata, gradient, tangentplan, funktionalmatris, funktionaldeterminant, differentialer, Taylors formel, lokala maxima och minima, största och minsta värde, extremvärdesproblem med bivillkor, dubbelintegraler, trippelintegraler, ytintegraler, båglängds- och kurvintegraler, Greens formel, exakta differentialformer, exakta differentialekvationer i R2, vektorfält, divergens och rotation, normalytintegraler, Stokes sats, Gauss divergenssats, krökning och torsion. Boken innehåller ett stort antal utförligt lösta exempel, tillämpningar och övningar, vilket bidrar till ökad förståelse av såväl begrepp som teori.Böckerna i serien är avsedda för både högskoleingenjörs- och civilingenjörsutbildningar och är upplagda så att man kan välja att hoppa över mer krävande teori utan att sammanhanget går förlorat.
Häftad, Engelska, 2013
1 092 kr
Skickas inom 7-10 vardagar
This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books—both in level of exposition and layout—it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.
Inbunden, Engelska, 2006
701 kr
Skickas inom 7-10 vardagar
Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.
Häftad, Engelska, 2008
192 kr
Skickas inom 5-8 vardagar
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
Häftad, Engelska, 2001
1 043 kr
Skickas inom 5-8 vardagar
A great book ... a necessary item in any mathematical library"" -S. S. Chern, University of California ""A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics."" -Barrett O'Neill, University of California""This is obviously a very valuable and well thought-out book on an important subject"" -Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been-and continues to be-the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.
Häftad, Engelska, 2024
1 068 kr
Skickas inom 5-8 vardagar
The Gold Standard, Now for Today’s StudentsVarian’s Intermediate Microeconomics, long the gold standard, welcomes new co-author Marc Melitz. Informed by his extensive teaching experience, Melitz incorporates fresh examples and problems to modernize and enhance Varian’s core approach to support today’s students. A new interactive ebook supports provides unique interactives that explain challenging concepts, and Smartwork online assessment tool offers ample opportunities for students to work through problem sets.
Inbunden, Engelska, 2018
507 kr
Skickas inom 3-6 vardagar
Häftad, Engelska, 2018
299 kr
Skickas inom 5-8 vardagar
Häftad, Engelska, 2021
438 kr
Skickas inom 5-8 vardagar
An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Häftad, Engelska, 1998
285 kr
Skickas inom 5-8 vardagar
This text introduces an approach for mastering the concepts of vectors and vector analysis which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear co-ordinates. It separates those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, this text provides a guide for any student of vector analysis. Clear line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.
Häftad, Svenska, 2025
360 kr
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Denna lärobok innehåller det väsentliga i en kurs i flerdimensionell analys med vektoranalys för universitet och högskola. Den består i princip av tre delar: differentialkalkyl, integralkalkyl och vektoranalys. Fokus ligger på de begrepp och de färdigheter som behövs i tillämpningar, vilket speciellt är sant för integralkalkylen vars matematiska teori är mer styvmoderligt behandlad och ersatt med ett intuitivt resonemang.I vektoranalysen är fokus inte enbart på de tre grundläggande satserna, Gauss, Greens och Stokes satser, utan det illustreras också hur dessa används inom viktiga fysikaliska teorier. Det betyder till exempel en diskussion om den fysikaliska innebörden av Maxwells ekvationer.
Inbunden, Engelska, 2013
635 kr
Skickas inom 10-15 vardagar
This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
Häftad, Engelska, 2003
398 kr
Skickas inom 5-8 vardagar
This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations – equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors – Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University – introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.Reprint of the Harper & Row, Publishers, 1963 edition.
330 kr
Skickas inom 5-8 vardagar
What’s the point of calculating definite integrals since you can’t possibly do them all?What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Häftad, Engelska, 2003
228 kr
Skickas inom 5-8 vardagar
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Inbunden, Engelska, 2010
771 kr
Skickas inom 10-15 vardagar
A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. The classic texts of Taylor [19], Buck [1], Widder [21], and Kaplan [9], for example, show some of the ways it was approached. Over time, certain aspects of the course came to be seen as more signi?cant—those seen as giving a rigorous foundation to calculus—and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core. Advanced calculus did not, in the process, become less important, but its role in the curriculum changed. In fact, a bifurcation occurred. In one direction we got c- culus on n-manifolds, a course beyond the practical reach of many undergraduates; in the other, we got calculus in two and three dimensions but still with the theorems of Stokes and Gauss as the goal. The latter course is intended for everyone who has had a year-long introduction to calculus; it often has a name like Calculus III. In my experience, though, it does not manage to accomplish what the old advancedcalculus course did. Multivariable calculusnaturallysplits intothreeparts:(1)severalfunctionsofonevariable,(2)one function of several variables, and (3) several functions of several variables. The ?rst two are well-developed in Calculus III, but the third is really too large and varied to be treated satisfactorily in the time remaining at the end of a semester. To put it another way: Green’s theorem ?ts comfortably; Stokes’ and Gauss’ do not.
Häftad, Engelska, 2014
453 kr
Skickas inom 10-15 vardagar
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.The following topics are particularly emphasised:• existence, uniqueness and continuation of solutions,• continuous dependence on initial data,• flows,• qualitative behaviour of solutions,• limit sets,• stability theory,• invariance principles,• introductory control theory,• feedback and stabilization.The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability.Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.
Inbunden, Engelska, 2015
465 kr
Skickas inom 10-15 vardagar
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises fromthe first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
Inbunden, Engelska, 2018
1 213 kr
Skickas inom 5-8 vardagar
Maximize your course success by making the most of what Serway/Jewett's PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN PHYSICS, Tenth Edition, has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. New context-rich exercises, Think-Pair-Share problems and MCAT-style passage problems enable you to put what you learn into practice. Also available, WebAssign is the world's easiest to use homework system. Throughout every chapter, the authors have built in a wide range of examples, exercises and illustrations that will help you understand the laws of physics AND succeed in your course!
909 kr
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Detta är ett paket bestående av böckerna:Envariabelanalys för teknisk högskola - Del 1Envariabelanalys för teknisk högskola - Del 2
Inbunden, Engelska, 2026
428 kr
Skickas inom 5-8 vardagar
Inbunden, Engelska, 2026
401 kr
Skickas inom 5-8 vardagar
Häftad, Svenska, 2016
545 kr
Skickas
Boken ger en introduktion till numerisk analys inom ämnet beräkningsmatematik. Såväl analys som metoder är relevanta för ämnet som det används idag. Presentationen görs i en löpande matematisk stil utan formalism i definitioner, satser och bevis. Författarna anknyter till aktuella tillämpningar av intresse och diskuterar användningsområden även utanför bokens ram. Boken ger läsaren en effektiv verktygslåda för att approximativt lösa matematiskt formulerade problem inom vitt skilda discipliner av naturvetenskap och teknik.
Utmärkande för boken
Relativt låga krav på förkunskaper som uppfylls av den som studerat någon termin matematik på högskola eller universitet. Ger läsaren möjlighet att studera mycket på egen hand genom den stora mängden lösta exempel och övningar. Relaterar till modern matematisk programvara genom många hänvisningar och lösta övningar med programsystemet MATLAB. Meningsfull som en första introduktionskurs i numerisk analys, men även smidigt påbyggbar med fortsättningskurser i numerisk analys och numerisk linjär algebra.Relaterat material: Linjär algebra Fortsättningskurs
Om författarnaFörfattarna Kjell Holmåker och Ivar Gustafsson är docenter i matematik vid Chalmers tekniska högskola i Göteborg. De har över 40 års erfarenhet av undervisning i matematik och numerisk analys vid Chalmers och Göteborgs universitet. De har varit aktiva forskare inom tillämpad matematik, speciellt optimal kontroll respektive numerisk linjär algebra.